461517014052 has 72 divisors (see below), whose sum is σ = 1172169573120. Its totient is φ = 153107418240.

The previous prime is 461517014051. The next prime is 461517014069. The reversal of 461517014052 is 250410715164.

461517014052 is a `hidden beast` number, since 461 + 5 + 1 + 7 + 0 + 140 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461517013998 and 461517014016.

It is not an unprimeable number, because it can be changed into a prime (461517014051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9272649 + ... + 9322287.

It is an arithmetic number, because the mean of its divisors is an integer number (16280132960).

Almost surely, 2^461517014052 is an apocalyptic number.

It is an amenable number.

461517014052 is an abundant number, since it is smaller than the sum of its proper divisors (710652559068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461517014052 is a wasteful number, since it uses less digits than its factorization.

461517014052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50873 (or 50868 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 461517014052 in words is "four hundred sixty-one billion, five hundred seventeen million, fourteen thousand, fifty-two".